MinT - Information on Result #2770427

Information on Result #2770427

Linear OOA(3¹³¹, 51, F₃, 4, 77) (dual of [(51, 4), 73, 78]-NRT-code), using strength reduction based on linear OOA(3¹³¹, 51, F₃, 4, 78) (dual of [(51, 4), 73, 79]-NRT-code), using

constructionÂ X applied to AG(4;F,109P) âŠ‚ AG(4;F,118P) [i] based on
1. linear OOA(3¹²³, 47, F₃, 4, 78) (dual of [(47, 4), 65, 79]-NRT-code), using algebraic-geometric NRT-code AG(4;F,109P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹¹⁴, 47, F₃, 4, 69) (dual of [(47, 4), 74, 70]-NRT-code), using algebraic-geometric NRT-code AG(4;F,118P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3⁸, 4, F₃, 4, 8) (dual of [(4, 4), 8, 9]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;8,3) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.